The linear algebra a beginning graduate student ought to know / by Jonathan S. Golan.
Editor: Dordrecht : Springer, c2007Edición: 2nd edDescripción: xi, 435 p. : il. ; 24 cmISBN: 9781402054945; 1402054947; 9781402054952 (e-book); 1402054955 (e-book)Tema(s): Algebras, LinearOtra clasificación: 15-01 (00-01) Recursos en línea: Publisher description1. Notation and terminology2. Fields3. Vector spaces over a field4. Algebras over a field5. Linear independence and dimension6. Linear transformations7. The endomorphism algebra of a vector space8. Representation of linear transformations by matrices9. The algebra of square matrices10. Systems of linear equations11. Determinants12. Eigenvalues and eigenvectors13. Krylov subspaces14. The dual space15. Inner product spaces16. Orthogonality17. Selfadjoint endomorphisms18. Unitary and normal endomorphisms19. Moore-Penrose pseudoinverses20. Bilinear transformations and forms.
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1. Notation and terminology -- 2. Fields -- 3. Vector spaces over a field -- 4. Algebras over a field -- 5. Linear independence and dimension -- 6. Linear transformations -- 7. The endomorphism algebra of a vector space -- 8. Representation of linear transformations by matrices -- 9. The algebra of square matrices -- 10. Systems of linear equations -- 11. Determinants -- 12. Eigenvalues and eigenvectors -- 13. Krylov subspaces -- 14. The dual space -- 15. Inner product spaces -- 16. Orthogonality -- 17. Selfadjoint endomorphisms -- 18. Unitary and normal endomorphisms -- 19. Moore-Penrose pseudoinverses -- 20. Bilinear transformations and forms.
MR, 2007h:15001
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